22-23八年级上·江苏·单元测试
名校
1 . 如图,在
中,
是
的垂直平分线,
,D为
的中点.
(2)若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7595bdaea3dfa548c0fcfe3708387476.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19766bbdc2d23ae20e9f34530c3a1543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
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2024-01-07更新
|
196次组卷
|
13卷引用:河南省许昌市魏都区2023-2024学年八年级上学期期中数学试题
河南省许昌市魏都区2023-2024学年八年级上学期期中数学试题陕西省渭南市大荔县2022-2023学年八年级上学期期末考试数学试题(已下线)专题01三角形的证明(知识串讲+热考题型)-2022-2023学年八年级数学下学期期中期末考点大串讲(北师大版)十三 线段的垂直平分线的性质江苏省扬州市高邮市南海中学2023-2024学年八年级上学期第一次学情调研测试数学试题江苏省常州市武进区湖塘实验中学2023-2024学年八年级上学期10月月考数学试题(已下线)第一次月考八年级数学模拟卷(范围:全等三角形、轴对称图形)-【单元测试】2022-2023学年八年级数学上册分层训练AB卷(苏科版)江苏省泰州市兴化市昭阳湖初级中学2022-2023学年八年级上学期第一次月考数学试题江苏省南京市溧水区2022-2023学年八年级上学期期中数学试题江苏省苏州市高新区2022-2023学年八年级上学期12月月考数学试题河北省石家庄市第八十九中学2023-2024学年八年级上学期期末数学试题贵州省毕节市金沙县第四中学2023-2024学年八年级下学期4月月考数学试题(已下线)第一章第04讲 线段的垂直平分线和角平分线(8类热点题型讲练)-【帮课堂】2023-2024学年八年级数学下册同步学与练(北师大版)
2 . 已知:如图,
及M、N两点.请你在
内部找一点P,使它到角的两边和到点M、N的距离分别相等(保留作图痕迹).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/73db959e-8b41-4395-bdd6-b81143943804.png?resizew=139)
您最近一年使用:0次
2024-01-07更新
|
109次组卷
|
13卷引用:河南省信阳市息县关店理想学校2023-2024学年八年级上学期期中数学试题
河南省信阳市息县关店理想学校2023-2024学年八年级上学期期中数学试题河南省洛阳市偃师区新前程美语学校2023-2024年八年级上学期12月月考数学试题河南省桐柏县2021-2022学年八年级上学期第三次阶段质量检测数学试题(已下线)专题03 线段垂直平分线的性质和判定(七大类型)(题型专练)-2023-2024学年八年级数学上册《知识解读·题型专练》(苏科版)(已下线)专题02 线段垂直平分线的性质和判定(七大类型)(题型专练)-2023-2024学年八年级数学上册《知识解读·题型专练》(人教版)福建省泉州市第九中学2023-2024学年八年级上学期期中模拟数学试题山东省滨州市无棣县2023-2024学年八年级上学期期中数学试题(已下线)专题03 轴对称图形(知识串讲+热考题型+真题训练)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(人教版)辽宁省锦州实验学校2018—2019学年八年级下学期第一次月考数学试题陕西省宝鸡市扶风县2019-2020学年八年级下学期期末数学试题湖北省荆州市监利市朱河镇初级中学.2021-2022学年八年级上学期期中数学试题江苏省连云港市灌云县西片2022-2023学年八年级第一次教学质量检测数学试题江苏省连云港市灌南县扬州路实验学校2022-2023学年八年级上学期10月月考数学试题
3 . 如图,在
中,
,根据尺规作图的痕迹判断,以下结论中不正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/d15c5643-30d1-40d1-bfa9-85f8fa88c025.png?resizew=146)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d9142db4dd2ef151bf3d4a63afb61e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/d15c5643-30d1-40d1-bfa9-85f8fa88c025.png?resizew=146)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 八年级的同学在一次探究试验活动中发现,解决几何问题时,条件中若出现“中点”“中线”字样,可以考虑延长中线(延长的线段等于中线长)或延长过中点的线段,构造全等三角形,把分散的已知条件和所求证的结论转化到同一个三角形中,进而使得问题得以解决.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/6cf48624-275b-47d3-a10e-e5a2f340ba36.jpg?resizew=427)
(1)如图1,在
中,若
,
.求
边上的中线
的取值范围;
(2)如图2,在
中,点D是
的中点,点M在
边上,点N在
边上,若
.
求证:
;
(3)如图3,
和
均为等腰直角三角形,且
,连接
,
,点D为
边的中点,连接
.请直接写出
与
的数量关系和位置关系.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/6cf48624-275b-47d3-a10e-e5a2f340ba36.jpg?resizew=427)
(1)如图1,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)如图2,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47f2874795e9df280e3e0bec171358e.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e17c1c2b2b0a45b267e3a33d169737e.png)
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1275768bdac801185ef152290a85ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4088ea5ac2035c33ca474f14b0a6ce46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2024-01-04更新
|
134次组卷
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2卷引用:河南省南阳市南召县2023-2024学年八年级上学期12月月考数学试题
5 . 如图,在
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/915fa43c-ebaf-4077-98e9-73819ad844c9.jpg?resizew=124)
(1)利用尺规作图作
的垂直平分线,垂足为
,交
于点
,延长
至点
,使
;
(2)若
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/915fa43c-ebaf-4077-98e9-73819ad844c9.jpg?resizew=124)
(1)利用尺规作图作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b59f0e6f7fa9c50e7f5cc146ba1af1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86338536656046e93b53672ade9a78b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
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6 . 如图,在
中,
的平分线交
于点
是
上点,且
交
于点
,连接
.
是菱形;
(2)当
_______度时,四边形
是正方形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe28ba06cf7a76b358898ccd456bcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414c23c755deb29a65dc3c9090b237b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a169dd71346e0656d829b4ac4cfa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
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7 . 如图,在
中,
,
是
的角平分线,
垂直平分
,交
的延长线于点
.求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b400a6c61254b81d4ccc5a2a7cf4c967.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/06efe1eb-0b1e-4891-b98d-d9df0da1701c.png?resizew=154)
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8 . 如图,在
中,
垂直平分
,分别交
,
于点D,E,
平分
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/cfc19fef-2273-48ec-b320-57827fec0f1f.png?resizew=157)
(1)求证:
为直角三角形;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/cfc19fef-2273-48ec-b320-57827fec0f1f.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f341b98caabf99bc683ce8407068735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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9 . 如图
中,
,
,中线
,点E、点F分别为线段AD、
上的动点,连接
、
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8817091d0f4b7d7ac6df560cb63c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f662e4cf38298b85e32f48747ec34b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/364309ae-5d5e-494c-aa22-e0c98746afed.png?resizew=160)
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10 . 如图,
是
的平分线,
垂直平分
交
的延长线于点F,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46ed6a85478dd8e816f384eef31f3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/1/c5d3a0c1-0d55-46ac-b16a-98f7a295d365.png?resizew=130)
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